Built on

Y. Geyer and L. Mason, “The M-Theory S-Matrix,” arXiv:1901.00134 [hep-th]
Original
1901
Earlier work this paper cites.
H. Elvang, M. Hadjiantonis, C. R. T. Jones and S. Paranjape, “All-Multiplicity One-Loop Amplitudes in Born-Infeld Electrodynamics from Generalized Unitarity,” JHEP 2003
Original
1906
Earlier work this paper cites.
J. H. Schwarz and C. Wen, “Unified Formalism for 6D Superamplitudes Based on a Symplectic Grassmannian,” JHEP 1908
Original
1907
Earlier work this paper cites.
Y. Geyer, R. Monteiro and R. Stark-Muchão, “Two-Loop Scattering Amplitudes: Double-Forward Limit and Colour-Kinematics Duality,” arXiv:1908.05221 [hep-th]
Original
1908
Earlier work this paper cites.
J. Agerskov, N. E. J. Bjerrum-Bohr, H. Gomez and C. Lopez-Arcos, “Yang-Mills Loop Amplitudes from Scattering Equations,” arXiv:1910.03602 [hep-th]
Original
1910
Earlier work this paper cites.
M. B. Green, J. H. Schwarz and L. Brink, Nucl. Phys. B 198
1982
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar and D. A. Kosower, “One loop n point gauge theory amplitudes, unitarity and collinear limits,” Nucl. Phys. B 425
1994
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar and D. A. Kosower, “Fusing gauge theory tree amplitudes into loop amplitudes,” Nucl. Phys. B 435
1995
Earlier work this paper cites.
Z. Bern and A. G. Morgan, “Massive loop amplitudes from unitarity,” Nucl. Phys. B 467
1996
Earlier work this paper cites.
M. Aganagic, C. Popescu and J. H. Schwarz, “Gauge invariant and gauge fixed D-brane actions,” Nucl. Phys. B 495
1997
Earlier work this paper cites.
M. Cederwall, A. von Gussich, B. E. W. Nilsson and A. Westerberg, “The Dirichlet super three-brane in ten-dimensional type IIB supergravity,” Nucl. Phys. B 490
1997
Earlier work this paper cites.
M. Aganagic, C. Popescu and J. H. Schwarz, “D-brane actions with local kappa symmetry,” Phys. Lett. B 393
1997
Earlier work this paper cites.
M. Cederwall, A. von Gussich, B. E. W. Nilsson, P. Sundell and A. Westerberg, “The Dirichlet super p-branes in ten-dimensional type IIA and IIB supergravity,” Nucl. Phys. B 490
1997
Earlier work this paper cites.
E. Bergshoeff and P. K. Townsend, “Super D-branes,” Nucl. Phys. B 490
1997
Earlier work this paper cites.
Z. Bern, J. S. Rozowsky and B. Yan, “Two loop four gluon amplitudes in N=4 superYang-Mills,” Phys. Lett. B 401
1997
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, M. Perelstein and J. S. Rozowsky, “On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences,” Nucl. Phys. B 530
1998
Earlier work this paper cites.
M. Shmakova, “One loop corrections to the D3-brane action,” Phys. Rev. D 62
2000
Earlier work this paper cites.
G. Albonico, Y. Geyer and L. Mason, “Recursion and worldsheet formulae for 6d superamplitudes,” arXiv:2001.05928 [hep-th]
Original
2001
Earlier work this paper cites.
J. H. Schwarz, “M5-Brane Amplitudes,” arXiv:2001.03793 [hep-th]
Original
2001
Earlier work this paper cites.

Similar

E. Witten, “Perturbative Gauge Theory as a String Theory in Twistor Space,” Commun. Math. Phys. 252
2004
Cited alongside, same era.
R. Roiban, M. Spradlin and A. Volovich, “On the Tree Level S Matrix of Yang–Mills Theory,” Phys. Rev. D 70
2004
Cited alongside, same era.
R. Britto, F. Cachazo, B. Feng and E. Witten, “Direct proof of tree-level recursion relation in Yang-Mills theory,” Phys. Rev. Lett. 94
2005
Cited alongside, same era.
C. Anastasiou, R. Britto, B. Feng, Z. Kunszt and P. Mastrolia, “D-dimensional unitarity cut method,” Phys. Lett. B 645
2006
Cited alongside, same era.
C. Cheung and D. O’Connell, “Amplitudes and Spinor-Helicity in Six Dimensions,” JHEP 0907
Original
2009
Cited alongside, same era.

Then

Y. Geyer, L. Mason, R. Monteiro and P. Tourkine, “One-loop amplitudes on the Riemann sphere,” JHEP 1603
Original
2016
Later among the works it cites.
F. Cachazo, S. He and E. Y. Yuan, “One-Loop Corrections from Higher Dimensional Tree Amplitudes,” JHEP 1608
Original
2016
Later among the works it cites.
Y. Geyer, L. Mason, R. Monteiro and P. Tourkine, “Two-Loop Scattering Amplitudes from the Riemann Sphere,” Phys. Rev. D 94
Original
2016
Later among the works it cites.
C. Baadsgaard, N. E. J. Bjerrum-Bohr, J. L. Bourjaily, S. Caron-Huot, P. H. Damgaard and B. Feng, “New Representations of the Perturbative S-Matrix,” Phys. Rev. Lett. 116
Original
2016
Later among the works it cites.
R. Huang, Q. Jin, J. Rao, K. Zhou and B. Feng, “The Q-cut Representation of One-loop Integrands and Unitarity Cut Method,” JHEP 1603

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2020

D3-Brane Loop Amplitudes from M5-Brane Tree Amplitudes

Wen, Congkao, Zhang, Shun-Qing

Understand

We study loop corrections to scattering amplitudes in the world-volume theory of a probe D3-brane, which is described by the supersymmetric Dirac-Born-Infeld theory.

We show that the D3-brane loop superamplitudes can be obtained from the tree-level superamplitudes in the world-volume theory of a probe M5-brane (or D5-brane).
The M5-brane theory describes self-interactions of an abelian tensor supermultiplet with $(2,0)$ supersymmetry, and the tree-level superamplitudes are given by a twistor formula.
We apply the construction to the maximally-helicity-violating (MHV) amplitudes in the D3-brane theory at one-loop order, which are purely rational terms (except for the four-point amplitude).

Built on

Y. Geyer and L. Mason, “The M-Theory S-Matrix,” arXiv:1901.00134 [hep-th]
Original
1901
Earlier work this paper cites.
H. Elvang, M. Hadjiantonis, C. R. T. Jones and S. Paranjape, “All-Multiplicity One-Loop Amplitudes in Born-Infeld Electrodynamics from Generalized Unitarity,” JHEP 2003
Original
1906
Earlier work this paper cites.
J. H. Schwarz and C. Wen, “Unified Formalism for 6D Superamplitudes Based on a Symplectic Grassmannian,” JHEP 1908
Original
1907
Earlier work this paper cites.
Y. Geyer, R. Monteiro and R. Stark-Muchão, “Two-Loop Scattering Amplitudes: Double-Forward Limit and Colour-Kinematics Duality,” arXiv:1908.05221 [hep-th]
Original
1908
Earlier work this paper cites.
J. Agerskov, N. E. J. Bjerrum-Bohr, H. Gomez and C. Lopez-Arcos, “Yang-Mills Loop Amplitudes from Scattering Equations,” arXiv:1910.03602 [hep-th]
Original
1910
Earlier work this paper cites.
M. B. Green, J. H. Schwarz and L. Brink, Nucl. Phys. B 198
1982
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar and D. A. Kosower, “One loop n point gauge theory amplitudes, unitarity and collinear limits,” Nucl. Phys. B 425
1994
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar and D. A. Kosower, “Fusing gauge theory tree amplitudes into loop amplitudes,” Nucl. Phys. B 435
1995
Earlier work this paper cites.
Z. Bern and A. G. Morgan, “Massive loop amplitudes from unitarity,” Nucl. Phys. B 467
1996
Earlier work this paper cites.
M. Aganagic, C. Popescu and J. H. Schwarz, “Gauge invariant and gauge fixed D-brane actions,” Nucl. Phys. B 495
1997
Earlier work this paper cites.
M. Cederwall, A. von Gussich, B. E. W. Nilsson and A. Westerberg, “The Dirichlet super three-brane in ten-dimensional type IIB supergravity,” Nucl. Phys. B 490
1997
Earlier work this paper cites.
M. Aganagic, C. Popescu and J. H. Schwarz, “D-brane actions with local kappa symmetry,” Phys. Lett. B 393
1997
Earlier work this paper cites.
M. Cederwall, A. von Gussich, B. E. W. Nilsson, P. Sundell and A. Westerberg, “The Dirichlet super p-branes in ten-dimensional type IIA and IIB supergravity,” Nucl. Phys. B 490
1997
Earlier work this paper cites.
E. Bergshoeff and P. K. Townsend, “Super D-branes,” Nucl. Phys. B 490
1997
Earlier work this paper cites.
Z. Bern, J. S. Rozowsky and B. Yan, “Two loop four gluon amplitudes in N=4 superYang-Mills,” Phys. Lett. B 401
1997
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, M. Perelstein and J. S. Rozowsky, “On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences,” Nucl. Phys. B 530
1998
Earlier work this paper cites.
M. Shmakova, “One loop corrections to the D3-brane action,” Phys. Rev. D 62
2000
Earlier work this paper cites.
G. Albonico, Y. Geyer and L. Mason, “Recursion and worldsheet formulae for 6d superamplitudes,” arXiv:2001.05928 [hep-th]
Original
2001
Earlier work this paper cites.
J. H. Schwarz, “M5-Brane Amplitudes,” arXiv:2001.03793 [hep-th]
Original
2001
Earlier work this paper cites.

Similar

E. Witten, “Perturbative Gauge Theory as a String Theory in Twistor Space,” Commun. Math. Phys. 252
2004
Cited alongside, same era.
R. Roiban, M. Spradlin and A. Volovich, “On the Tree Level S Matrix of Yang–Mills Theory,” Phys. Rev. D 70
2004
Cited alongside, same era.
R. Britto, F. Cachazo, B. Feng and E. Witten, “Direct proof of tree-level recursion relation in Yang-Mills theory,” Phys. Rev. Lett. 94
2005
Cited alongside, same era.
C. Anastasiou, R. Britto, B. Feng, Z. Kunszt and P. Mastrolia, “D-dimensional unitarity cut method,” Phys. Lett. B 645
2006
Cited alongside, same era.
C. Cheung and D. O’Connell, “Amplitudes and Spinor-Helicity in Six Dimensions,” JHEP 0907
Original
2009
Cited alongside, same era.